%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU112+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:50:35 AM UTC 2026 % Result : Theorem 0.36s 0.59s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU112+1 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:30:07 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.59 % SZS status Theorem % 0.36/0.59 % SZS output start Proof % 0.36/0.59 ( % 0.36/0.59 (declare-sort $$unsorted 0) % 0.36/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.function (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.empty_set $$unsorted) % 0.36/0.59 (declare-const tptp.cap_closed (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.finite_subsets (-> $$unsorted $$unsorted)) % 0.36/0.59 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.59 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.59 (define @t3 () (tptp.in @t1 @t2)) % 0.36/0.59 (define @t4 () (@list @t1 @t2)) % 0.36/0.59 (define @t5 () (tptp.finite @t1)) % 0.36/0.59 (define @t6 () (tptp.empty @t1)) % 0.36/0.59 (define @t7 () (@list @t1)) % 0.36/0.59 (define @t8 () (tptp.diff_closed @t1)) % 0.36/0.59 (define @t9 () (tptp.cup_closed @t1)) % 0.36/0.59 (define @t10 () (and @t9 @t8)) % 0.36/0.59 (define @t11 () (tptp.preboolean @t1)) % 0.36/0.59 (define @t12 () (tptp.finite @t2)) % 0.36/0.59 (define @t13 () (tptp.powerset @t1)) % 0.36/0.59 (define @t14 () (tptp.element @t2 @t13)) % 0.36/0.59 (define @t15 () (@list @t2)) % 0.36/0.59 (define @t16 () (tptp.finite_subsets @t1)) % 0.36/0.59 (define @t17 () (tptp.set_union2 @t2 @t1)) % 0.36/0.59 (define @t18 () (tptp.set_union2 @t1 @t2)) % 0.36/0.59 (define @t19 () (tptp.preboolean @t16)) % 0.36/0.59 (define @t20 () (not (tptp.empty @t13))) % 0.36/0.59 (define @t21 () (not @t6)) % 0.36/0.59 (define @t22 () (tptp.empty @t2)) % 0.36/0.59 (define @t23 () (not @t22)) % 0.36/0.59 (define @t24 () (tptp.element @t1 @t2)) % 0.36/0.59 (define @t25 () (tptp.finite_subsets @t2)) % 0.36/0.59 (define @t26 () (tptp.subset @t16 @t25)) % 0.36/0.59 (define @t27 () (tptp.subset @t1 @t2)) % 0.36/0.59 (define @t28 () (forall @t4 (=> @t27 @t26))) % 0.36/0.59 (define @t29 () (forall @t4 (tptp.subset (tptp.set_union2 @t16 @t25) (tptp.finite_subsets @t18)))) % 0.36/0.59 (define @t30 () (@var "C" $$unsorted)) % 0.36/0.59 (define @t31 () (tptp.element @t2 (tptp.powerset @t30))) % 0.36/0.59 (define @t32 () (@list @t1 @t2 @t30)) % 0.36/0.59 (define @t33 () (tptp.subset (tptp.set_union2 @t1 @t30) @t2)) % 0.36/0.59 (define @t34 () (tptp.subset @t30 @t2)) % 0.36/0.59 (define @t35 () (and @t27 @t34)) % 0.36/0.59 (define @t36 () (forall @t32 (=> @t35 @t33))) % 0.36/0.59 (define @t37 () (@quantifiers_skolemize @t29 1)) % 0.36/0.59 (define @t38 () (@quantifiers_skolemize @t29 0)) % 0.36/0.59 (define @t39 () (@list @t38 @t37)) % 0.36/0.59 (define @t40 () (tptp.set_union2 @t38 @t37)) % 0.36/0.59 (define @t41 () (not @t34)) % 0.36/0.59 (define @t42 () (not @t27)) % 0.36/0.59 (define @t43 () (tptp.finite_subsets @t37)) % 0.36/0.59 (define @t44 () (tptp.finite_subsets @t40)) % 0.36/0.59 (define @t45 () (tptp.finite_subsets @t38)) % 0.36/0.59 (define @t46 () (tptp.subset @t45 @t44)) % 0.36/0.59 (define @t47 () (tptp.subset @t38 @t40)) % 0.36/0.59 (define @t48 () (not @t47)) % 0.36/0.59 (define @t49 () (or @t48 @t46)) % 0.36/0.59 (define @t50 () (tptp.subset (tptp.set_union2 @t45 @t43) @t44)) % 0.36/0.59 (define @t51 () (tptp.subset @t43 @t44)) % 0.36/0.59 (define @t52 () (not @t51)) % 0.36/0.59 (define @t53 () (not @t46)) % 0.36/0.59 (define @t54 () (or @t53 @t52 @t50)) % 0.36/0.59 (define @t55 () (@list true false false)) % 0.36/0.59 (define @t56 () (tptp.subset @t37 @t40)) % 0.36/0.59 (define @t57 () (not @t56)) % 0.36/0.59 (define @t58 () (or @t57 @t51)) % 0.36/0.59 (define @t59 () (tptp.set_union2 @t37 @t38)) % 0.36/0.59 (define @t60 () (= @t40 @t59)) % 0.36/0.59 (define @t61 () (tptp.subset @t37 @t59)) % 0.36/0.59 (define @t62 () (and @t60 @t61)) % 0.36/0.59 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.36/0.59 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.36/0.59 (assume @p3 (forall @t7 (=> @t11 @t10))) % 0.36/0.59 (assume @p4 (forall @t7 (=> @t5 (forall @t15 (=> @t14 @t12))))) % 0.36/0.59 (assume @p5 (forall @t7 (=> @t10 @t11))) % 0.36/0.59 (assume @p6 (forall @t4 (=> (tptp.element @t2 @t16) @t12))) % 0.36/0.59 (assume @p7 (forall @t4 (= @t18 @t17))) % 0.36/0.59 (assume @p8 (forall @t7 @t19)) % 0.36/0.59 (assume @p9 (forall @t7 (exists @t15 (tptp.element @t2 @t1)))) % 0.36/0.59 (assume @p10 (forall @t7 (and @t20 (tptp.cup_closed @t13) (tptp.diff_closed @t13) (tptp.preboolean @t13)))) % 0.36/0.59 (assume @p11 (forall @t7 @t20)) % 0.36/0.59 (assume @p12 (tptp.empty tptp.empty_set)) % 0.36/0.59 (assume @p13 (forall @t7 (and (not (tptp.empty @t16)) (tptp.cup_closed @t16) (tptp.diff_closed @t16) @t19))) % 0.36/0.59 (assume @p14 (forall @t4 (=> @t21 (not (tptp.empty @t18))))) % 0.36/0.59 (assume @p15 (forall @t4 (=> @t21 (not (tptp.empty @t17))))) % 0.36/0.59 (assume @p16 (forall @t4 (=> (and @t5 @t12) (tptp.finite @t18)))) % 0.36/0.59 (assume @p17 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.36/0.59 (assume @p18 (exists @t7 (and @t21 @t5))) % 0.36/0.59 (assume @p19 (exists @t7 (and @t21 @t9 (tptp.cap_closed @t1) @t8 @t11))) % 0.36/0.59 (assume @p20 (forall @t7 (=> @t21 (exists @t15 (and @t14 @t23))))) % 0.36/0.59 (assume @p21 (exists @t7 @t6)) % 0.36/0.59 (assume @p22 (forall @t7 (exists @t15 (and @t14 @t22 (tptp.relation @t2) (tptp.function @t2) (tptp.one_to_one @t2) (tptp.epsilon_transitive @t2) (tptp.epsilon_connected @t2) (tptp.ordinal @t2) (tptp.natural @t2) @t12)))) % 0.36/0.59 (assume @p23 (forall @t7 (exists @t15 (and @t14 @t22)))) % 0.36/0.59 (assume @p24 (exists @t7 @t21)) % 0.36/0.59 (assume @p25 (forall @t7 (=> @t21 (exists @t15 (and @t14 @t23 @t12))))) % 0.36/0.59 (assume @p26 (forall @t4 (tptp.subset @t1 @t1))) % 0.36/0.59 (assume @p27 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.36/0.59 (assume @p28 (forall @t4 (=> @t3 @t24))) % 0.36/0.59 (assume @p29 @t28) % 0.36/0.59 (assume @p30 (not @t29)) % 0.36/0.59 (assume @p31 (forall @t4 (=> @t24 (or @t22 @t3)))) % 0.36/0.59 (assume @p32 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t27))) % 0.36/0.59 (assume @p33 (forall @t32 (=> (and @t3 @t31) (tptp.element @t1 @t30)))) % 0.36/0.59 (assume @p34 (forall @t32 (not (and @t3 @t31 (tptp.empty @t30))))) % 0.36/0.59 (assume @p35 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.36/0.59 (assume @p36 (forall @t4 (not (and @t3 @t22)))) % 0.36/0.59 (assume @p37 (forall @t4 (tptp.subset @t1 @t18))) % 0.36/0.59 (assume @p38 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t22)))) % 0.36/0.59 (assume @p39 @t36) % 0.36/0.59 (assume @p40 true) % 0.36/0.59 (step @p41 :rule instantiate :premises (@p7) :args (@t39)) % 0.36/0.59 (step @p42 :rule instantiate :premises (@p37) :args ((@list @t37 @t38))) % 0.36/0.59 (step @p43 :rule bool-impl-elim :args (@t27 @t26)) % 0.36/0.59 (step @p44 :rule cong :premises (@p43) :args (@t28)) % 0.36/0.59 (step @p45 :rule eq_resolve :premises (@p29 @p44)) % 0.36/0.59 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t37 @t40))) % 0.36/0.59 (step @p47 :rule aci_norm :args ((= (or (or @t42 @t41) @t33) (or @t42 @t41 @t33)))) % 0.36/0.59 (step @p48 :rule refl :args (@t33)) % 0.36/0.59 (step @p49 :rule bool-and-de-morgan :args (@t27 @t34 true)) % 0.36/0.59 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or (not @t35) @t33))) % 0.36/0.59 (step @p51 :rule trans :premises (@p50 @p47)) % 0.36/0.59 (step @p52 :rule bool-impl-elim :args (@t35 @t33)) % 0.36/0.59 (step @p53 :rule trans :premises (@p52 @p51)) % 0.36/0.59 (step @p54 :rule cong :premises (@p53) :args (@t36)) % 0.36/0.59 (step @p55 :rule eq_resolve :premises (@p39 @p54)) % 0.36/0.59 (step @p56 :rule instantiate :premises (@p55) :args ((@list @t45 @t44 @t43))) % 0.36/0.59 (step @p57 :rule instantiate :premises (@p45) :args ((@list @t38 @t40))) % 0.36/0.59 (step @p58 :rule instantiate :premises (@p37) :args (@t39)) % 0.36/0.59 (step @p59 :rule cnf_or_pos :args (@t49)) % 0.36/0.59 (step @p60 :rule reordering :premises (@p59) :args ((or @t46 @t48 (not @t49)))) % 0.36/0.59 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p57) :args (@t46 (@list false false) (@list @t47 @t49))) % 0.36/0.59 (step @p62 :rule skolemize :premises (@p30)) % 0.36/0.59 (step @p63 :rule cnf_or_pos :args (@t54)) % 0.36/0.59 (step @p64 :rule reordering :premises (@p63) :args ((or @t50 @t53 @t52 (not @t54)))) % 0.36/0.59 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p61 @p56) :args (@t52 @t55 (@list @t50 @t46 @t54))) % 0.36/0.59 (step @p66 :rule cnf_or_pos :args (@t58)) % 0.36/0.59 (step @p67 :rule reordering :premises (@p66) :args ((or @t51 @t57 (not @t58)))) % 0.36/0.59 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p46) :args (@t57 (@list true false) (@list @t51 @t58))) % 0.36/0.59 (assume-push @p84 @t60) % 0.36/0.59 (assume-push @p85 @t61) % 0.36/0.59 (step @p71 :rule true_intro :premises (@p42)) % 0.36/0.59 (step @p72 :rule refl :args (@t37)) % 0.36/0.59 (step @p73 :rule cong :premises (@p72 @p41) :args (@t56)) % 0.36/0.59 (step @p74 :rule trans :premises (@p73 @p71)) % 0.36/0.59 (step @p75 :rule true_elim :premises (@p74)) % 0.36/0.59 (step-pop @p86 :rule scope :premises (@p75)) % 0.36/0.59 (step-pop @p87 :rule scope :premises (@p86)) % 0.36/0.59 (step @p76 :rule process_scope :premises (@p87) :args (@t56)) % 0.36/0.59 (step @p79 :rule implies_elim :premises (@p76)) % 0.36/0.59 (step @p80 :rule cnf_and_neg :args (@t62)) % 0.36/0.59 (step @p81 :rule resolution :premises (@p80 @p79) :args (true @t62)) % 0.36/0.59 (step @p82 :rule reordering :premises (@p81) :args ((or (not @t60) @t56 (not @t61)))) % 0.36/0.59 (step @p83 false :rule chain_m_resolution :premises (@p82 @p68 @p42 @p41) :args (false @t55 (@list @t56 @t61 @t60))) % 0.36/0.59 ) % 0.36/0.59 % SZS output end Proof % 0.36/0.59 % cvc5 exiting %------------------------------------------------------------------------------